Question

Подъёмный кран должен в течении промежутка времени ▲t=8ч поднять груз m=300т на высоту h=9м.Найдите мощность двигателя крана если кофициет полезного действия равен 60%

Answer 1

N - КПД

n = A / Аполн

A - работа = Wp = mgh

A полн = Pt+Wp+Fт

n = mgh / pt+mgh+mg

Ptn +mghn + mgn = mgh

P = (mgh - mghn - mgn)/(t*n)  = 7.8/tn Вт =452 Вт

Answer 2

Calculating the Power of the Crane's Engine

To calculate the power of the crane's engine, we can use the formula:

Power (P) = Work / Time

Where: - Work (W) = Force × Distance - Force = Mass × Acceleration - Distance = Height

Given: - Mass (m) = 300 tons = 300,000 kg - Height (h) = 9 m - Time (t) = 8 hours = 8 × 3600 seconds - Efficiency (η) = 60%

Let's calculate the power of the crane's engine using these values.

Calculating Work

First, we need to calculate the work done by the crane to lift the load to the given height.

Work (W) = Force × Distance

Force = Mass × Acceleration Acceleration due to gravity (g) = 9.81 m/s^2

Force = 300,000 kg × 9.81 m/s^2

Distance = Height = 9 m

Now, we can calculate the work done.

Calculating Power

Now that we have the work done, we can calculate the power of the crane's engine using the formula:

Power (P) = Work / Time

We'll also consider the efficiency of the crane, which is 60%.

Let's proceed with these calculations.